The entropy of 'strange' billiards inside n-simplexes

Details The entropy of 'strange' billiards inside n-simplexes The entropy of 'strange' billiards inside n-simplexes

2002-08-30

arxiv.org/abs/nlin/0208048v1

J. Phys. A: Math. Gen. 28 (1995) 5033-5039

Nonlinear Sciences

Chaotic Dynamics

7 pages, 1 figures

Scientific paper

10.1088/0305-4470/28/17/031

In the present work we investigate a new type of billiards defined inside
n-simplex regions. We determine an invariant ergodic (SRB) measure of the
dynamics for any dimension. In using symbolic dynamics the (KS or metric)
entropy is computed and we find that the system is chaotic for all cases n > 2.

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